August 01, 2021

New FWF stand-alone project for PD Dr. Giovanni DI FRATTA

PD Dr. Giovanni DI FRATTA was granted an FWF stand-alone project for his proposal on the Mathematical Analysis and Modeling of Magnetic Skyrmions (FWF grant P34609).

Magnetic skyrmions are a class of topologically stable solitons with quasiparticle properties: they behave like particles, but they are inherently more complex structures due to their collective nature. They owe their name to the nuclear physicist Tony Skyrme, who, in 1962, proposed a description of elementary subatomic particles as geometric twists in a continuous quantum field.

These structures are inspiring for novel magnetic recording devices. Indeed, their ultimate small size and stability and their capability to be controlled by weak spin-polarized currents appear promising in tackling most of the current challenges in implementing spintronic devices. However, the topic is still at its outset, and there are still many unanswered mathematical questions here. The proposed project intends to contribute to our theoretical understanding of the emergence of magnetic skyrmions in curved geometries. Also, it aims to elucidate the origin of antisymmetric exchange interaction through a refined analysis of the Heisenberg model in the short-range regime.

The comprehensive understanding of the mentioned phenomena is a fundamental issue that relies on a combination of ideas from various fields, including solid mechanics, topology, partial differential equations, and the calculus of variations.

Giovanni Di Fratta received his Ph.D. in 2013 from the University of Naples Parthenope. He then moved to the University of Bristol (UK) as Research Associate. In 2014, he was awarded a Hadamard Postdoctoral Fellowship, which he spent at CMAP, Ecole Polytechnique (France). In 2016, he moved to BCAM (Spain) as a Visiting Fellow. In 2017 he joined Dirk Praetorius' group at TU Wien, where he is currently Privatdozent and University Assistant.

The Institute of Analysis and Scientific Computing congratulates Giovanni on securing this grant.

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